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Simplifying 4(x + -12) = 10x + -40 Reorder the terms: 4(-12 + x) = 10x + -40 (-12 * 4 + x * 4) = 10x + -40 (-48 + 4x) = 10x + -40 Reorder the terms: -48 + 4x = -40 + 10x Solving -48 + 4x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -48 + 4x + -10x = -40 + 10x + -10x Combine like terms: 4x + -10x = -6x -48 + -6x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 -48 + -6x = -40 + 0 -48 + -6x = -40 Add '48' to each side of the equation. -48 + 48 + -6x = -40 + 48 Combine like terms: -48 + 48 = 0 0 + -6x = -40 + 48 -6x = -40 + 48 Combine like terms: -40 + 48 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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